i) Generate a third degree polynomial in x and y named g(x, y) that is based...

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i) Generate a third degree polynomial in x and y named g(x, y) that is based on your mobile number (Note: In case there is a 0 in one of the digits replace it by 3). Suppose your mobile number is 9412821233, then the polynomial would be g(x, y) = 9x-4xy+1xy2-2y3+8x-2xy+ y2-2x+3y3, where alternate positive and negative sign are used. Deliverable(s) The polynomial constructed should be reported. (0.5) ii) Write a code to find all critical points of g(x, y). You may use built in functions like 'solve' (or other similar functions) in Octave/Matlab to find the critical points.. Deliverable(s) The code that finds the critical points along with the display of all the calculated critical points. (1) iii) Write a code to determine whether they correspond to a maximum, minimum or a saddle point. Deliverable(s) The code that identifies the type of critical points. The critical points and their type must be presented in the form of the table generated by code for the above polynomial. (1.5 marks) i) Generate a third degree polynomial in x and y named g(x, y) that is based on your mobile number (Note: In case there is a 0 in one of the digits replace it by 3). Suppose your mobile number is 9412821233, then the polynomial would be g(x, y) = 9x-4xy+1xy2-2y3+8x-2xy+ y2-2x+3y3, where alternate positive and negative sign are used. Deliverable(s) The polynomial constructed should be reported. (0.5) ii) Write a code to find all critical points of g(x, y). You may use built in functions like 'solve' (or other similar functions) in Octave/Matlab to find the critical points.. Deliverable(s) The code that finds the critical points along with the display of all the calculated critical points. (1) iii) Write a code to determine whether they correspond to a maximum, minimum or a saddle point. Deliverable(s) The code that identifies the type of critical points. The critical points and their type must be presented in the form of the table generated by code for the above polynomial. (1.5 marks)